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Finding the Third Proportional to 119,097 and 161,649

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Solution

The third proportional to 119,097 and 161,649 is: 219,404.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,097 : 161,649 = 161,649 : x
  2. Step 2: Convert to fraction form
    119,097/161,649 = 161,649/x
  3. Step 3: Cross multiply
    119,097x = 161,649 × 161,649
  4. Step 4: Simplify right side
    119,097x = 26,130,399,201
  5. Step 5: Solve for x
    x = 26,130,399,201/119,097
  6. Step 6: Final answer
    x = 219,404.34

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.